Question

figure abcd is dilated to form figure abcd. the center of dilation is at point e. what is the scale factor? 1/3 1/2 2 3

Explanation:

Step1: Measure side - lengths

Measure a side - length of the original figure $ABCD$ and the corresponding side - length of the dilated figure $A'B'C'D'$. Let's assume the side - length of $AB$ is 1 unit and the side - length of $A'B'$ is 2 units.

Step2: Calculate scale factor

The scale factor $k$ of a dilation is given by the ratio of the length of a side of the dilated figure to the length of the corresponding side of the original figure. So, $k=\frac{\text{length of side of dilated figure}}{\text{length of corresponding side of original figure}}=\frac{A'B'}{AB}$. Since $A'B' = 2$ and $AB = 1$, the scale factor $k = 2$.

Answer:

C. 2